Geodesic
Spherical Harmonics on the Heisenberg Group
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 383-396

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H1. Equip R3 with the group law (1.1) where (z, t) stands for (x, y, t). This is a nilpotent Lie group, usually referred to as the first Heisenberg group, H 1. In general H k denotes R2k+1 equipped with a similar group law, namely 
Greiner, Peter C. Spherical Harmonics on the Heisenberg Group. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 383-396. doi: 10.4153/CMB-1980-057-9
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     author = {Greiner, Peter C.},
     title = {Spherical {Harmonics} on the {Heisenberg} {Group}},
     journal = {Canadian mathematical bulletin},
     pages = {383--396},
     year = {1980},
     volume = {23},
     number = {4},
     doi = {10.4153/CMB-1980-057-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-057-9/}
}
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